perplexus.info :: Just Math : Power Equality Poser

Power Equality Poser (Posted on 2015-03-29)

Find all nonzero integer solutions of this system of equations:

A^A+B= B¹² and, B^A+B = A³

Prove that there are no others.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

Only solutions are:
(1,1), (1,-1),(4,2), and (9,-3)
For an explanation, refer to the analytical solution submitted by Steve Herman here and here.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): Analytical Solution	Steve Herman	2015-03-31 10:40:46
re: Analytical Solution	Dej Mar	2015-03-29 22:50:51
Quadratically	Steve Herman	2015-03-29 19:03:39
Analytical Solution	Steve Herman	2015-03-29 09:56:54

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